The number 67340

Q: Is 67340 a prime number?

No. 67340 = 2^2 × 5 × 7 × 13 × 37, so it is divisible by 2.

67340 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 5 × 7 × 13 × 37. Divisors (48): 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 37, 52, 65, 70 … 67340.

Number

Pick any whole number from 1 to 100,000.

67340 = 2^{2} \times 5 \times 7 \times 13 \times 37

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How to work it out

1
What is special about 67340: a Harshad number: divisible by its digit sum 20.
2
67340 is composite. Its prime factorisation is
$67340 = 2^{2} \times 5 \times 7 \times 13 \times 37$
3
The divisors add up to 178752; without 67340 itself that is 111412, so 67340 is abundant (111412 is more than 67340). Euler's totient φ(67340) = 20736 numbers up to 67340 share no factor with it.
4
The digits of 67340 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67340 = 2^{2} \times 5 \times 7 \times 13 \times 37 \]

67340 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	178752
Euler totient φ(n)	20736
Square	4534675600
Cube	305365054904000
Square root	259.499518 (= 2√16835)
Digit sum / digital root	20 / 2
Collatz steps to 1	161
Scientific notation	6.734 × $10^{4}$

67340 in other forms

Form	Value
In words	sixty-seven thousand three hundred and forty
Binary (base 2)	10000011100001100
Octal (base 8)	203414
Hexadecimal (base 16)	1070C
Base 3	10102101002
As time	67340 seconds = 18 h 42 min 20 s

Is 67340 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67340 ÷ 2 = 33670)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67340 ÷ 4 = 16835)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (67340 ÷ 5 = 13468)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (67340 ÷ 7 = 9620)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (67340 ÷ 10 = 6734)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67340 a prime number?

No. 67340 = $2^{2}$ × 5 × 7 × 13 × 37, so it is divisible by 2.

What are the factors of 67340?

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 37, 52, 65, 70, 74, 91, 130, 140, 148, 182, 185, 259, 260, 364, 370, 455, 481, 518, 740, 910, 962, 1036, 1295, 1820, 1924, 2405, 2590, 3367, 4810, 5180, 6734, 9620, 13468, 16835, 33670, 67340.

What is 67340 in binary?

10000011100001100 (hexadecimal 1070C, octal 203414).

What is the square root of 67340?

About 259.4995, exactly 2√16835.

Is 67340 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 67340?

67340 is a Harshad number: divisible by its digit sum 20.